A semi-coherent multiple-input multiple-output (MIMO) scheme, which only requires one of its receivers to operate coherently while others can be non-coherent, is proposed. In this scheme, the information symbols at the non-coherent receivers are estimated with the aid of a coherent receiver through a covariance estimator, thus allowing signals to be decoded coherently in the final stage. Results show that the proposed system is able to provide performance on par with that of the more complicated fully coherent MIMO systems.